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This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AQA A-Level (UK - Pre-2017)FP1Complex NumbersComplex equations-
AQA AS Further Maths 2017Pure MathsComplex Number BasicsComplex Equations-
AQA AS/A2 Further Maths 2017Pure MathsComplex Number BasicsComplex Equations-
CBSE XI (India)AlgebraComplex Numbers and Quadratic EquationsSolve quadratics with complex roots-
CCEA A-Level (NI)FP1Complex NumbersComplex equations-
CIE A-Level (UK)P3Complex NumbersComplex equations-
Edexcel A-Level (UK - Pre-2017)FP1Complex NumbersComplex equations-
Edexcel AS Further Maths 2017Core Pure MathsComplex NumbersComplex Equations-
Edexcel AS/A2 Further Maths 2017Core Pure MathsComplex NumbersComplex Equations-
Methods (UK)M3Complex NumbersComplex equations-
OCR A-Level (UK - Pre-2017)FP1Complex NumbersComplex equations-
OCR AS Further Maths 2017Pure CoreSolving Complex EquationsComplex Equations-
OCR MEI AS Further Maths 2017Core Pure ASolving Complex EquationsComplex Equations-
OCR-MEI A-Level (UK - Pre-2017)FP1Complex NumbersComplex equations-
Pre-U A-Level (UK)7Complex NumbersComplex equations-
Scottish Advanced HighersM2Complex NumbersComplex equations-
Scottish (Highers + Advanced)AM2Complex NumbersComplex equations-
Universal (all site questions)CComplex NumbersComplex equations-
WJEC A-Level (Wales)FP1Complex NumbersComplex equations-